2017/08/31 by Takahiro Nishimichi, Francis Bernardeau, Atsushi Taruya · 33 citations
Mathematics · Physics and Astronomy · #Astrophysics #Astrophysics and Cosmic Phenomena #COSMIC cancer database #Classical mechanics #Computer science #Cosmology #Cosmology and Gravitation Theories #Dark energy #Galaxies: Formation, Evolution, Phenomena #Geometry #Gravitation #Mathematics #Matter power spectrum #Nonlinear system #Parameter space #Physics #Quantum mechanics #Regularization (linguistics) #Spectral density #Statistical physics #Statistics #Theoretical physics #astro-ph.CO
paper · pdf · doi:10.1103/physrevd.96.123515
published in Physical review. D/Physical review. D. 96(12) (American Physical Society) · 27 pages, 21 figures, additional simulation results presented, a minor update in the RESPRESSO code (available at http://www-utap.phys.s.u-tokyo.ac.jp/~nishimichi/public_codes/respresso/index.html)
openalex created_date 2017/09/15 · arxiv created 2017/11/19 · openalex publication_date 2017/12/14 · arxiv updated 2017/12/20 · openalex updated_date 2026/08/05
We present numerical measurements of the power spectrum response function of the gravitational growth of cosmic structures, defined as the functional derivative of the nonlinear spectrum with respect to the linear counterpart, based on 1400 cosmological simulations. We develop a simple analytical model based on a regularization of the standard perturbative calculation. Using the model prediction, we show that this function gives a natural way to interpolate the nonlinear power spectrum over cosmological parameter space from single- or multistep interpolations. We demonstrate that once an accurate numerical spectrum template is available for one (or a small number of) cosmological model(s), it doubles the range in k for which percent-level accuracy can be obtained even for a large change in the cosmological parameters. The Python package RESPRESSO we developed to make those predictions is publicly available.